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Finding the Third Proportional to 401,903 and 866,902

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Solution

The third proportional to 401,903 and 866,902 is: 1,869,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,903 : 866,902 = 866,902 : x
  2. Step 2: Convert to fraction form
    401,903/866,902 = 866,902/x
  3. Step 3: Cross multiply
    401,903x = 866,902 × 866,902
  4. Step 4: Simplify right side
    401,903x = 751,519,077,604
  5. Step 5: Solve for x
    x = 751,519,077,604/401,903
  6. Step 6: Final answer
    x = 1,869,901.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.